11. Modeling I

11.1. Characteristics of modeling

The law of behavior tested is” VMIS_CIN2_MEMO “documented in doc [R5.03.04]. It is a Chaboche law comprising two variables for non-linear kinematic work hardening and modeling the memory effect. The elastic parameters are as follows:

\(E(T)\), \(\nu (T)\), and \(\alpha (T)\)

The elastoplastic parameters are as follows:

\({R}_{I}(T)\), \({R}_{0}(T)\), \(B(T)\), \({\mathrm{C1}}_{I}(T)\), \({\mathrm{C2}}_{I}(T)\),, \({\mathrm{G1}}_{0}(T)\), \({\mathrm{G2}}_{0}(T)\), \(K\),, \(W\),,,,,,,,,,,,,, \({A}_{I}\) \(\mathrm{MU}(T)\) \(Q\text{\_}M(T)\) \(Q\text{\_}0(T)\) \(\mathrm{ETA}\)

Values of the parameters used:

Settings	\(T=20°C\)	\(T=500°C\)
\(E(T)\)	\(2.E5\) \(\mathrm{MPa}\)	\(1.E5\) \(\mathrm{MPa}\)
\(\nu (T)\)	\(0.\)	\(0.\)
\(\alpha (T)\)	\(1.E-5\) \({K}^{-1}\)	\(2.E-5\) \({K}^{-1}\)
\({R}_{I}(T)\)	\(300.\) \(\mathrm{MPa}\)	\(150.\) \(\mathrm{MPa}\)
\({R}_{0}(T)\)	\(100.\) \(\mathrm{MPa}\)	\(50.\) \(\mathrm{MPa}\)
\(B(T)\)	\(12.\)	\(5.\)
\({\mathrm{C1}}_{I}(T)\)	\(2000.\) \(\mathrm{MPa}\)	\(500.\) \(\mathrm{MPa}\)
\({\mathrm{C1}}_{I}(T)\)	\(2000.\) \(\mathrm{MPa}\)	\(500.\) \(\mathrm{MPa}\)
\({\mathrm{G1}}_{0}(T)\)	\(45.\)	\(75.\)
\({\mathrm{G2}}_{0}(T)\)	\(45.\)	\(75.\)
\(K(T)\)	\(1.\)	\(1.\)
\(W(T)\)	\(0.\)	\(0.\)
\({A}_{I}(T)\)	\(1.\)	\(1.\)
\(\mathrm{MU}(T)\)	\(17.\)	\(19.\)
\(Q\text{\_}M(T)\)	\(340.\) \(\mathrm{MPa}\)	\(460.\) \(\mathrm{MPa}\)
\(Q\text{\_}0(T)\)	\(140.\) \(\mathrm{MPa}\)	\(100.\) \(\mathrm{MPa}\)
\(\mathrm{ETA}\)	\(0.5\)	\(0.5\)

11.2. Tested sizes and results

Result at order number \(i\)	Name of the tested parameter	Name of the tested parameter	Reference type	tolerance
RESU_9	VMIS	AUTRE_ASTER	66.0797	0.10%
RESU_9	TRACE	AUTRE_ASTER	-66.0798	0.10%
RESU_9	V1	AUTRE_ASTER	9.3392E-03	0.10%